Simplify (27y2/5)^(1/3)

${(27 y \frac{2}{5})}^{\frac{1}{3}}$

Step 1

Multiply $27 y (\frac{2}{5})$ .

Combine $27$ and $\frac{2}{5}$ .

${(y \frac{27 \cdot 2}{5})}^{\frac{1}{3}}$

Multiply $27$ by $2$ .

${(y \frac{54}{5})}^{\frac{1}{3}}$

Combine $y$ and $\frac{54}{5}$ .

${(\frac{y \cdot 54}{5})}^{\frac{1}{3}}$

Step 2

Move $54$ to the left of $y$ .

${(\frac{54 \cdot y}{5})}^{\frac{1}{3}}$

Step 3

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{54 y}{5}$ .

$\frac{{(54 y)}^{\frac{1}{3}}}{5^{\frac{1}{3}}}$

Apply the product rule to $54 y$ .

$\frac{54^{\frac{1}{3}} y^{\frac{1}{3}}}{5^{\frac{1}{3}}}$